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Finding the Fourth Proportional to 192.39, 288.78 and 111.25

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Solution

The fourth proportional to 192.39, 288.78 and 111.25 is: 166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.39 : 288.78 = 111.25 : x
  2. Step 2: Convert to fraction form
    192.39/288.78 = 111.25/x
  3. Step 3: Cross multiply
    192.39x = 288.78 × 111.25
  4. Step 4: Simplify right side
    192.39x = 32,126.78
  5. Step 5: Solve for x
    x = 32,126.78/192.39
  6. Step 6: Final answer
    x = 166.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.